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Finding the Fourth Proportional to 759.53, 1,048.15 and 410.22

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Solution

The fourth proportional to 759.53, 1,048.15 and 410.22 is: 566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.53 : 1,048.15 = 410.22 : x
  2. Step 2: Convert to fraction form
    759.53/1,048.15 = 410.22/x
  3. Step 3: Cross multiply
    759.53x = 1,048.15 × 410.22
  4. Step 4: Simplify right side
    759.53x = 429,972.32
  5. Step 5: Solve for x
    x = 429,972.32/759.53
  6. Step 6: Final answer
    x = 566.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.